Virtual Element Methods for General Linear Second-order Hyperbolic Problems on Polygonal Meshes

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dc.contributor.authorPradhan, Gouranga
dc.date.accessioned2024-12-12T11:31:45Z
dc.date.available2024-12-12T11:31:45Z
dc.date.issued2023
dc.descriptionSupervisor: Deka, Bhupen
dc.description.abstractThis thesis focuses on the development of Virtual Element Methods (VEM) for the general linear second-order hyperbolic problems on polygonal meshes. These problems arise in many areas of science and engineering, including fluid dynamics, acoustics, and electro-magnetics. The primary focus of this work is to analyse the convergence of virtual element approximations to the exact solutions for both semi-discrete and fully-discrete formulation. In addition to the standard wave equations, these problems involve additional damping terms (weak damping and/or strong damping terms) and require further analyses to derive optimal convergence results.
dc.identifier.otherROLL NO.186123008
dc.identifier.urihttps://gyan.iitg.ac.in/handle/123456789/2738
dc.language.isoen
dc.relation.ispartofseriesTH-3214
dc.titleVirtual Element Methods for General Linear Second-order Hyperbolic Problems on Polygonal Meshes
dc.typeThesis
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